R Review Of Prerequisites 1 Functions And Relations 2 Polynomial And Rational Functions 3 Exponential And Logarithmic Functions 4 Trigonometric Functions 5 Analytic Trigonometry 6 Applications Of Trigonometric Functions 7 Trigonometry Applied To Polar Coordinate Systems And Vectors 8 Systems Of Equations And Inequalities 9 Matrices And Determinants And Applications 10 Analytic Geometry 11 Sequences, Series, Induction, And Probability expand_more
11.1 Sequences And Series 11.2 Arithmetic Sequences And Series 11.3 Geometric Sequences And Series 11.4 Mathematical Induction 11.5 The Binomial Theorem 11.6 Principles Of Counting 11.7 Introduction To Probability Chapter Questions expand_more
Problem 1SP: Write the first four terms of the sequence defined by the nth term. a. bn=2n+3 b. dn=1nn2 Problem 2SP Problem 3SP: Evaluate. a. 9!2!7! b. n1!n! Problem 4SP Problem 5SP Problem 6SP Problem 7SP Problem 1PE Problem 2PE Problem 3PE Problem 4PE: For n1 , the expression represents the product of the firs n positive integers nn1n221 .... Problem 5PE Problem 6PE Problem 7PE Problem 8PE: For Exercises 7-14, the nth term of a sequence is given. Write the first four terms of the sequence.... Problem 9PE: For Exercises 7-14, the nth term of a sequence is given. Write the first four terms of the sequence.... Problem 10PE: For Exercises 7-14, the nth term of a sequence is given. Write the first four terms of the sequence.... Problem 11PE Problem 12PE Problem 13PE Problem 14PE: For Exercises 7-14, the nth term of a sequence is given. Write the first four terms of the sequence.... Problem 15PE Problem 16PE: If the nth term of a sequence is 1n+11n , which terms are positive and which are negative? Problem 17PE Problem 18PE: For Exercises 17-20, the nth term of a sequence is given. Find the indicated term. bn=5n1 ; find b20 Problem 19PE Problem 20PE: For Exercises 17-20, the nth term of a sequence is given. Find the indicated term. dn=6n+7 ; find... Problem 21PE Problem 22PE: For Exercises 21-24, match the sequence or function with its graph. fx=x Problem 23PE Problem 24PE Problem 25PE: For Exercises 25-30, write the first five terms of the sequence defined recursively. (See Example 2)... Problem 26PE: For Exercises 25-30, write the first five terms of the sequence defined recursively. (See Example 2)... Problem 27PE Problem 28PE: For Exercises 25-30, write the first five terms of the sequence defined recursively. (See Example 2)... Problem 29PE Problem 30PE Problem 31PE Problem 32PE: The number in the sequence defined by a1=1,a2=3 , and an=an1+an2 for n3 are referred to as Lucas... Problem 33PE Problem 34PE Problem 35PE Problem 36PE Problem 37PE Problem 38PE: For Exercises 33-44, evaluate the expression. (See Example 3) 12!9! Problem 39PE Problem 40PE: For Exercises 33-44, evaluate the expression. (See Example 3) 10!6!4! Problem 41PE Problem 42PE: For Exercises 33-44, evaluate the expression. (See Example 3) n1!n! Problem 43PE Problem 44PE Problem 45PE Problem 46PE: For Exercises 45-48. the nth term of a sequence is given. Find the indicated term. (See Example 4)... Problem 47PE Problem 48PE Problem 49PE Problem 50PE Problem 51PE Problem 52PE: For Exercises 49-56, find the nth term an of a sequence whose first four terms are given. (See... Problem 53PE Problem 54PE Problem 55PE Problem 56PE Problem 57PE Problem 58PE: For Exorcises 57-70, find the sum. (See Example 6) i=152i+7 Problem 59PE Problem 60PE Problem 61PE Problem 62PE: For Exorcises 57-70, find the sum. (See Example 6) n=2413n Problem 63PE Problem 64PE: For Exorcises 57-70, find the sum. (See Example 6) i=1504 Problem 65PE Problem 66PE Problem 67PE Problem 68PE Problem 69PE Problem 70PE Problem 71PE Problem 72PE Problem 73PE Problem 74PE Problem 75PE Problem 76PE Problem 77PE Problem 78PE Problem 79PE Problem 80PE Problem 81PE: For Exercises 75-86, write the sum using summation notation. There may be multiple representations.... Problem 82PE Problem 83PE Problem 84PE Problem 85PE Problem 86PE: For Exercises 75-86, write the sum using summation notation. There may be multiple representations.... Problem 87PE Problem 88PE Problem 89PE Problem 90PE Problem 91PE Problem 92PE: For Exercise 91-94, sue the sums i=150i2=42,925 and i=150i2=1275 and the properties of summation... Problem 93PE Problem 94PE Problem 95PE: For Exercises 95-98, determine whether the statement is true or false. If a statement is false,... Problem 96PE Problem 97PE: For Exercises 95-98, determine whether the statement is true or false. If a statement is false,... Problem 98PE: For Exercises 95-98, determine whether the statement is true or false. If a statement is false,... Problem 99PE Problem 100PE Problem 101PE Problem 102PE Problem 103PE: Given a sequence a1,a2,a3,,an , the arithmetic mean a is given by a=1ni=1nai . Use the arithmetic... Problem 104PE: Given a sequence a1,a2,a3,,an , the arithmetic mean a is given by a=1ni=1nai . Use the arithmetic... Problem 105PE Problem 106PE Problem 107PE Problem 108PE Problem 109PE Problem 110PE Problem 111PE Problem 112PE Problem 113PE Problem 114PE Problem 115PE Problem 116PE Problem 117PE Problem 118PE: Using calculus, we can show that the series k=1n1k10.5kk approaches in 1.5 as n approaches infinity.... format_list_bulleted